1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
qwelly [4]
3 years ago
11

A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t

he​ 95% confidence interval for mu. A. ​(636.9, 653.1) B. ​(712.0, 768.0) C. ​(539.6, 551.2) D. ​(112.0, 118.9)
Mathematics
1 answer:
bearhunter [10]3 years ago
8 0

Answer: A. ​(636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

Significance level :\alpha: 1-0.95=0.05

Critical value :z_{0.05}=1.96

Sample mean : \overline{x}=645\text{ hours}

Standard deviation : \sigma= 31\text{ hours}

The 95% confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)

Hence,  95% confidence interval for population mean is (636.9, 653.1).

You might be interested in
What is the letter a? 6a+14=-7-a. a=?
grin007 [14]

<span>6a+14=-7-a

you simplify the equation to the form, which is simple to understand
<span>6a+14=-7-a

you move all terms containing a to the left and all other terms to the right.
<span>+6a+1a=-7-14

you need to simplify left and right side of the equation.
<span>+7a=-21

you divide both sides of the equation by 7 to get a.
<span>a=-3</span></span></span></span></span>
5 0
2 years ago
Read 2 more answers
Carol is going to buy a purse she found. It is originally $120.00, but has been marked down 25%. When carol goes to buy the purs
german
$97.2


120*.75 =90 (discounted price)
90*.08 = 7.2 (amount sales tax)

90 + 7.2= 97.2
5 0
3 years ago
Brad has groups of 10 pennies. Brad counts 40, but he has 6 more stacks to count. How many pennies does he have? Explain your an
GrogVix [38]

Answer:

100 pennies

Step-by-step explanation:

each stack is 10 pennies. brad has 4 stacks which equal 40 and has 6 more stack which qual 60. 40+60=100

4 0
3 years ago
Mrs. Pascal has a candy jar that contains 5 Jolly Ranchers and 13 jawbreakers. Solve each of the following problems and explain
UkoKoshka [18]

Answer:

Step-by-step explanation:

The ratio is 5:13 and the total number of candy is 18. If the total amount of candy increased by 40x then both candy values would increase by 40x. There are 200 Jolly ranchers and 520 jawbreakers.

4 0
2 years ago
Which number line shows the solutions of 13x−8≥x+6?
Leviafan [203]

13x - x \geqslant  6 + 8 \\ 12x \geqslant 14 \\ x \geqslant  \frac{14}{12}  =  \frac{7}{6 }  = 1.167 \\ x \geqslant 1.167

i hope it helps u

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find (g-f)(6) where f and g are the following functions:<br>f(x)= x+7 and g(x)=x^2+2x-5
    12·1 answer
  • the united states capitol is located 800 meters south and 2300 m to the east of the White House. If the locations were placed on
    11·1 answer
  • 96
    5·1 answer
  • The circle above has an area of 36 in2. What is the area of the blue sector? Use 3.14 for .
    11·1 answer
  • Lanette drove 248 miles in 4 hours at that rate , how many hours will it tak her to drive an additional 93 miles.
    14·1 answer
  • What is the sum of the arithmetic sequence 149, 135, 121, …, if there are 28 terms?
    7·1 answer
  • The lowest recorded temperature in Antarctica was about 90°F below zero. The highest recorded temperature in Antarctica was abou
    14·2 answers
  • Maggie drank 4 5 liter of water Monday before going jogging. She drank 2 3 liter of water after her jog. How much water did Magg
    8·1 answer
  • Hello :) how to do question 23 ?
    12·1 answer
  • The number sentence 4×6 = 6×4 is an example of what property?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!